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Note number : 0120 P/Arend : 50P

Introduction

The following improved orbital elements, are from 1181 observations 1951 October 27 to 2009 March 19, including full planetary and non-gravitational effect of type II, and relativity effect of the sun.

The mean residual is 0.43 arc second.

Elements

Orbital elements given with respect to the mean ecliptic and equinox of J2000.
Epoch : 2007 November 1 at 0h TT, julian day 2454405.5.

Perihelion passage (T) 2007 November 1.18512 TT ±0.00000 TT
Argument of perihelion (ω) 49.0421325° ±0.0000361°
>Longitude of the node (Ω) 355.3356041° ۪.0000350°
Inclinaison (i) 19.1548780° ±0.0000110°
Perihelion distance (q) 1.9243377 ua ±0.0000002 ua
Eccentricity (e) 0.5292502 ±0.0000008
Semimajor axis (a) 4.0878146 ua ±0.0000077 ua
Mean motion (n) 0.11925244°/jour ±0.00000034°/jour
Period (P) 8.265 years ±0.0000233 (0.0085 day)

Non-gravitational parameters :

A1 = 0.15576 .10-8 ±0.00460 .10-8
A2 = -0.01659 .10-8 ±0.00006 .10-8

Formulæ for magnitudes

Total magnitude :
m1 = H1 + 5log(Δ) + 10 log(r) avec H1 = 13.49± 0.05 calculé à l'aide de 183 observation(s).
Nuclear magnitude :
m2 = H2 + 5log(Δ) + 5 log(r) avec H2 = 14.71±0.01 calculé à l'aide de 556 observation(s).

Elements for the next transit through perihelion

Epoch :2016 February 8 at 0h TT, julian day 2457426.5 TT.

T =2016 February 8.18743 TT.
q :1.9187970 ua (J2000) P Q
n : 0.11940077°/jour ω : 49.2228373° +0.71096588 -0.70268580
a : 4.0844286 ua Ω : 355.1760861° +0.50489000 +0.53734532
e : 0.5302166 i : 19.1391891° +0.48950343 +0.46636109
P =8.25 years

Elements for the previous transit(s) through perihelion

Epoch :1999 August 3 at 0h TT, julian day 2451393.5 TT.

T =1999 August 3.77082 TT.
q :1.9166808 ua (J2000) P Q
n : 0.11954117°/jour ω : 48.9955674° +0.71138141 -0.70230811
a : 4.0812299 ua Ω : 355.3813665° +0.50474014 +0.53672902
e : 0.5303669 i : 19.1792684° +0.48905406 +0.46763798
P =8.25 years

Epoch :1991 May 26 at 0h TT, julian day 2448402.5 TT.

T =1991 May 26.03795 TT.
q :1.8500512 ua (J2000) P Q
n : 0.12338142°/jour ω : 47.0721721° +0.72528030 -0.68808131
a : 3.9960987 ua Ω : 356.1926444° +0.48934179 +0.53837109
e : 0.5370356 i : 19.9354461° +0.48426552 +0.48651894
P =7.99 years

Epoch :1983 May 22 at 0h TT, julian day 2445476.5 TT.

T =1983 May 22.39833 TT.
q :1.8568893 ua (J2000) P Q
n : 0.12295549°/jour ω : 46.9322223° +0.72550167 -0.68787302
a : 4.0053219 ua Ω : 356.3230046° +0.48956179 +0.53814960
e : 0.5363945 i : 19.9331043° +0.48371126 +0.48705822
P =8.02 years

Epoch :1975 May 24 at 0h TT, julian day 2442556.5 TT.

T =1975 May 24.69960 TT.
q :1.8469113 ua (J2000) P Q
n : 0.12345147°/jour ω : 46.9245833° +0.72522905 -0.68816546
a : 3.9945869 ua Ω : 356.3548191° +0.48960593 +0.53762722
e : 0.5376465 i : 19.9620963° +0.48407526 +0.48722199
P =7.98 years

Epoch :1967 June 13 at 0h TT, julian day 2439654.5 TT.

T =1967 June 13.67099 TT.
q :1.8221261 ua (J2000) P Q
n : 0.12699766°/jour ω : 44.6891111° +0.73085723 -0.68243433
a : 3.9198752 ua Ω : 358.2230617° +0.47582587 +0.52147183
e : 0.5351571 i : 21.6688643° +0.48932346 +0.51220163
P =7.76 years

Epoch :1959 September 1 at 0h TT, julian day 2436812.5 TT.

T =1959 September 1.20751 TT.
q :1.8315432 ua (J2000) P Q
n : 0.12650417°/jour ω : 44.5976269° +0.73104972 -0.68223684
a : 3.9300629 ua Ω : 358.3046547° +0.47606800 +0.52146150
e : 0.5339659 i : 21.6550798° +0.48880012 +0.51247517
P =7.79 years

Epoch :1951 November 23 at 0h TT, julian day 2433973.5 TT.

T =1951 November 23.41258 TT.
q :1.8209790 ua (J2000) P Q
n : 0.12696154°/jour ω : 44.4919447° +0.73135333 -0.68191967
a : 3.9206186 ua Ω : 358.3907179° +0.47567250 +0.52095034
e : 0.5355378 i : 21.7060204° +0.48873099 +0.51341632
P =7.76 years

Contact

Send your suggestion to the author of the notes : Patrick Rocher

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